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The L-p energy methods and decay for the compressible Navier-Stokes equations with capillarity

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 154 ()

` We consider the Navier-Stokes-Korteweg equations for a viscous compressible fluid with capillarity effect. Referring to those studies in the non-cap......

Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 148 ()

In this article we study the minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems when all the controls......

Lower bounds of gradient's blow-up for the Lame system with partially infinite coefficients

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 149 ()

In composite materials, the stress may be arbitrarily large in the narrow region between two close-to-touching hard inclusions. The stress is represen......

Convergence rates in zero-relaxation limits for Euler-Maxwell and Euler-Poisson systems

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 154 ()

It was proved that Euler-Maxwell systems converge globally-in-time to drift-diffusion systems in a slow time scaling, as the relaxation time goes to z......

Pulsating waves in a dissipative medium with Delta sources on a periodic lattice

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 150 ()

This paper studies a dissipative heat equation with Delta sources of non-linear strength located on a periodic lattice. The model arises from intracel......

A cut-off method to realize the exact boundary controllability of nodal profile for Saint-Venant systems on general networks with loops

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 151 ()

In this paper, we consider the exact boundary controllability of nodal profile for Saint-Venant systems on a network with loops. In the case with one ......

Semi-wave and spreading speed of the nonlocal Fisher-KPP equation with free boundaries

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 154 ()

In Cao, Du, Li and Li [9], a nonlocal diffusion model with free boundaries extending the local diffusion model of Du and Lin [18] was introduced and s......

Small-time global stabilization of the viscous Burgers equation with three scalar controls

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 151 ()

We construct explicit time-varying feedback laws leading to the global (null) stabilization in small time of the viscous Burgers equation with three s......

On an inverse boundary value problem for a nonlinear elastic wave equation

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 153 ()

We consider an inverse boundary value problem for a nonlinear elastic wave equation which was studied in [1]. We show that all the parameters appearin......

Propagation dynamics of a reaction-diffusion equation in a time-periodic shifting environment

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 147 ()

This paper concerns the nonautonomous reaction-diffusion equation u(t) = u(xx) + ug(t, x - ct, u), t > 0, x is an element of R, where c is an eleme......

Systems of quasilinear parabolic equations in R-n and systems of quadratic backward stochastic differential equations

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 149 ()

The objective of this paper is two-fold. The first objective is to complete the former work of Bensoussan and Frehse [2]. One big limitation of this p......

Dimensions of random statistically self-affine Sierpinski sponges in R-k

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 149 ()

We compute the Hausdorff dimension of any random statistically self-affine Sierpinski sponge K subset of R-k (k >= 2) obtained by using some percol......

The kinetic Fokker-Planck equation with mean field interaction

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 150 ()

We study the long time behavior of the kinetic Fokker-Planck equation with mean field interaction, whose limit is often called Vlasov-Fokker-Planck eq......

Exponential stability of density-velocity systems with boundary conditions and source term for the H-2 norm

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 153 ()

In this paper, we address the problem of the exponential stability of density-velocity systems with boundary conditions. Density-velocity systems are ......

Well-posedness of the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and far field vacuum

期刊: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021; 152 ()

In this paper, the Cauchy problem for the three-dimensional (3-D) isentropic compressible Navier-Stokes equations is considered. When viscosity coeffi......

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